Pith Number

pith:U5Y3AGBV

pith:2021:U5Y3AGBVR22JGSIBMASZY265YE

not attested not anchored not stored refs pending

The average size of $3$-torsion in class groups of $2$-extensions

Jiuya Wang, Melanie Matchett Wood, Robert J. Lemke Oliver

arxiv:2110.07712 v2 · 2021-10-14 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U5Y3AGBVR22JGSIBMASZY265YE}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Inductive methods for counting number fields

Receipt and verification

First computed	2026-07-05T03:27:05.547300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a771b018358eb493490160259c6bddc12c3823907516b326fe28c06238379508

Aliases

arxiv: 2110.07712 · arxiv_version: 2110.07712v2 · doi: 10.48550/arxiv.2110.07712 · pith_short_12: U5Y3AGBVR22J · pith_short_16: U5Y3AGBVR22JGSIB · pith_short_8: U5Y3AGBV

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/U5Y3AGBVR22JGSIBMASZY265YE \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: a771b018358eb493490160259c6bddc12c3823907516b326fe28c06238379508

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b9671c20147ee899a0762be71d7aa7c2d91031fa6154355782fd369936bf852",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-10-14T21:01:51Z",
    "title_canon_sha256": "1a3b335301388d64c56f569b9a6bdf71f233b46587f415668ac0b3868f7b9983"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.07712",
    "kind": "arxiv",
    "version": 2
  }
}